Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
41400q |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-268272000000 = -1 · 210 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -6 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1125,-20250] |
[a1,a2,a3,a4,a6] |
Generators |
[39:288:1] |
Generators of the group modulo torsion |
j |
13500/23 |
j-invariant |
L |
4.1137413920007 |
L(r)(E,1)/r! |
Ω |
0.51511835845537 |
Real period |
R |
1.9965029999794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800ba1 4600i1 1656f1 |
Quadratic twists by: -4 -3 5 |